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Finding the Fourth Proportional to 871.59, 1,202.94 and 522.36

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Solution

The fourth proportional to 871.59, 1,202.94 and 522.36 is: 720.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.59 : 1,202.94 = 522.36 : x
  2. Step 2: Convert to fraction form
    871.59/1,202.94 = 522.36/x
  3. Step 3: Cross multiply
    871.59x = 1,202.94 × 522.36
  4. Step 4: Simplify right side
    871.59x = 628,367.74
  5. Step 5: Solve for x
    x = 628,367.74/871.59
  6. Step 6: Final answer
    x = 720.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.